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Finding the Fourth Proportional to 229.16, 316.23 and 130.93

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Solution

The fourth proportional to 229.16, 316.23 and 130.93 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 316.23 = 130.93 : x
  2. Step 2: Convert to fraction form
    229.16/316.23 = 130.93/x
  3. Step 3: Cross multiply
    229.16x = 316.23 × 130.93
  4. Step 4: Simplify right side
    229.16x = 41,403.99
  5. Step 5: Solve for x
    x = 41,403.99/229.16
  6. Step 6: Final answer
    x = 180.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.